A 3-D Finite Element Model of Flow in Fractured Reservoirs

Abstract

We present the design and implementation of a 3-D finite element model of flow in a fractured reservoir. Three key features of our approach are discussed: (1) the need for discrete modeling of flow on fractures, (2) the use of a topological data base to describe the model independent of an underlying finite element mesh or finite difference grid, and, (3) the design and implementation of the finite element analysis module using object-oriented programming techniques. A simple example analysis illustrates the approach. The goal of our approach is to allow the analyst to work at an intuitive level relevant to the physical nature of the problem, rather than being concerned with the details of the solution procedure. Material properties and boundary conditions are assigned to features in the model, not to a finite element mesh or finite difference grid. This high level, independent storage of the problem description makes it much easier for an analysis to be performed. State-of-the-art visualization and manipulation methods assist in conveying the conceptual model of the reservoir and the assumptions made for performing a simulation.